Pre-Calculus Semester 2 Review
Name: _________________
This worksheet is meant to be a START to your review process.
I will not give you any formulas on the test. Any formulas you would like must be hand written on a note card.
Chapter 7
Identify and use reciprocal identities, quotient
identities, Pythagorean identities
Use the basic Trig. Identities to verify other
identities
Use the sum and difference identities for sin,
cos, tan
Use the double and half-angle identities for sin,
cos, tan
Solve trigonometric equations
Chapter 8
Find equal, opposite and parallel vectors
Find ordered pairs that represent vectors
Add, subtract, multiply, and find the magnitude
of vectors algebraically
Add and subtract vectors in three-dimensional
space
Find the magnitude of vectors in threedimensional space
Find the inner and cross product of two vectors
Determine whether two vectors are
perpendicular
Solve problems using vectors and right triangle
trigonometry
Chapter 9
Graph points in polar coordinates
Determine the distance between two points with
polar coordinates
Convert between polar and rectangular
coordinates
Add, subtract, multiply and divide complex
numbers in rectangular form
Convert complex numbers from rectangular to
polar form and vice versa
Problems from Textbook
p. 428 #25, 35, 39, 40
p. 434 #15, 21, 25
p. 442 #15, 19, 27
p. 454 #15, 21, 25
p. 459 #17, 21, 27, 39, 41
Problem from Text
Pg. 490 # 13, 35, 38, 41
Pg. 496 # 15, 17, 21,37
Pg. 496 # 23, 27, 33, 35
Pg. 502 #23, 25, 27, 37
Pg. 502 #15, 17, 21
Pg. 508 #15, 19, 20, 21, 25
Pg. 509 # 9, 31, 39
Pg. 516 # 3, 5, 7, 23, 32
Problems from Text
Pg. 558 # 29, 30, 31
Pg. 559 # 42, 43, 45
Pg. 572 # 15, 17, 21, 23, 24, 25,27, 28, 31, 35, 40
Pg. 583 # 15, 17, 21, 25, 31
Pg. 589 # 27, 31, 33, 35, 39
Chapter 11
Use the properties of exponents
Evaluate and simplify expressions containing
rational exponents
Solve problems involving exponential growth and
decay
Use the exponential function,
y  ex
Problems from Text
Pg. 700 # 21, 31, 35
Pg. 701 #39, 47 61, 65, 67
Pg. 710 # 8, 9, 25, 26, 27
Pg. 714 # 3, 6, 7
Evaluate expressions involving logarithms
Solve equations involving logarithms
Find common and natural logarithms of numbers
Pg. 722 #21, 25, 27, 33, 39, 43, 50, 51, 52, 66
Pg. 731 # 41, 42, 44, 45, 50,
Pg. 731 # 34, 36, 37
Solve equations and using common and natural
logarithms
Solve real-world applications with common and
natural logarithms
Pg. 736 # 37, 38, 39, 41, 42, 43
Chapter 15
Problems from Text
Find limits from a graph
Find limits algebraically
Find the derivative using the power formula
Find the derivative of exponential functions
Find the derivative using the chain rule
Find the derivative using the product and
quotient rule
Pg. 737 # 58, 59, 60